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There are 4 vowel letters and 6 consonant letters in the word percentage. P is 16th, E is 5th, R is 18th, C is 3rd, N is 14th, T is 20th, A is 1st, G is 7th, Letter of Alphabet series.
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List of Words Formed Using Letters of ‘percentage’
There are 200 words which can be formed using letters of the word ‘percentage‘
which can be formed using the letters from ‘percentage’:
which can be formed using the letters from ‘percentage’:
which can be formed using the letters from ‘percentage’:
which can be formed using the letters from ‘percentage’:
Other Info & Useful Resources for the Word ‘percentage’
Info | Details |
---|---|
Points in Scrabble for percentage | 15 |
Points in Words with Friends for percentage | 19 |
Number of Letters in percentage | 10 |
More info About percentage | percentage |
List of Words Starting with percentage | Words Starting With percentage |
List of Words Ending with percentage | Words Ending With percentage |
List of Words Containing percentage | Words Containing percentage |
List of Anagrams of percentage | Anagrams of percentage |
List of Words Formed by Letters of percentage | Words Created From percentage |
percentage Definition at Wiktionary | Click Here |
percentage Definition at Merriam-Webster | Click Here |
percentage Definition at Dictionary | Click Here |
percentage Synonyms At Thesaurus | Click Here |
percentage Info At Wikipedia | Click Here |
percentage Search Results on Google | Click Here |
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процент, доля, часть, процентный
существительное ↓
- процентное содержание; процент
a figure expressed as a percentage — число, выраженное в процентах
a high percentage of our workers — большой процент наших рабочих
the percentage of metal in the ore — процентное содержание металла в руде
- процентное отношение, процентная норма; процентная ставка
- комиссионное вознаграждение (в процентах); процентное отчисление
- разг. часть, доля; количество
a large percentage of schoolbooks now have pictures — теперь в большинстве школьных учебников имеются иллюстрации
a small percentage of people came — только небольшая часть (людей) пришла
- амер. разг. польза, выгода
Мои примеры
Словосочетания
the percentage of the country’s population living in suburbia — процент населения страны, живущего в пригородах
a certain percentage of the profit — определённый процент с прибыли
to express as percentage — выражать в процентах
percentage of nitrogen in air — процентное содержание азота в воздухе
to get a percentage for every car sold — получать процент с каждой проданной машины
percentage by volume — процентное содержание по объёму
percentage by weight — процентное содержание по весу
percentage change — относительное изменение
percentage composition — процентное содержание
percentage diagram — процентная диаграмма
percentage error — ошибка, выраженная в процентах
Примеры с переводом
It is expressed as a percentage.
Это выражено в виде процентного отношения.
There’s no percentage in it.
Это невыгодно / не дает никаких преимуществ.
What percentage of the population is literate?
Какой процент населения грамотен?
There’s no percentage in worrying.
Нет смысла волноваться. / Волноваться бессмысленно.
A serious percentage of books are not worth reading at all.
Огромное количество книг даже не стоит читать.
She gets a percentage for every record sold.
Она получает процент от каждой проданной записи.
Crime figures showed significant percentage increases.
Статистика преступности показала значительный процент прироста.
ещё 14 примеров свернуть
Примеры, ожидающие перевода
A low percentage of the women sampled said that they smoked during pregnancy.
Hotels routinely oversell their rooms, expecting a small percentage of no-shows.
The percentages of women completing high school and college were 95 percent and 52 percent, respectively.
Для того чтобы добавить вариант перевода, кликните по иконке ☰, напротив примера.
Возможные однокоренные слова
Формы слова
noun
ед. ч.(singular): percentage
мн. ч.(plural): percentages
- Top Definitions
- Quiz
- Related Content
- More About Percentage
- Examples
- British
This shows grade level based on the word’s complexity.
[ per-sen-tij ]
/ pərˈsɛn tɪdʒ /
This shows grade level based on the word’s complexity.
noun
a rate or proportion per hundred.
an allowance, commission, or rate of interest calculated by percent.
a proportion in general: Only a small percentage of the class will graduate with honors.
gain; benefit; profit; advantage.
QUIZ
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Which sentence is correct?
Origin of percentage
First recorded in 1780–90; percent + -age
words often confused with percentage
OTHER WORDS FROM percentage
per·cent·aged, adjective
Words nearby percentage
perceivable, perceive, perceived, perceived noise decibel, percent, percentage, percenter, percentile, percent sign, per centum, percept
Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023
MORE ABOUT PERCENTAGE
What is a percentage?
Percentage is a rate or proportion per hundred, as in This graph shows the percentage of homes that have a microwave.
Percentage is also used more generally to mean any proportion, as in Studies have shown that a large percentage of people love cute animals.
A percent is one one-hundredth (1/100) of something. Percentage refers to the rate or proportion of that one hundred. Usually, you will see the word percentage used in math equations or statistics or when someone is measuring the increase and decrease in rates.
Informally, percentage can mean a gain or advantage, as in There is no percentage to be gained from lying to the sheriff.
Generally, percentage and percent can be used interchangeably when referring to vague proportions. However, the word percentage never follows an exact number. In this case, only percent can be used in The number of pet owners increased by 10 percent.
A percentile is any of the possible 100 equal parts a range of values can be divided into. A given percentile means that the percentage of all possible outcomes is lower or lesser than the given percentile. For example, if you score in the 92nd percentile of an exam, you scored higher than 92 percent of all other people who took the exam.
Example: After careful measuring, the percentage of people who hated pineapple on pizza was found to be significantly higher than first thought.
Where does percentage come from?
The first records of the word percentage come from around 1780. It combines the word percent, referring to “one-hundredth” or a rate per one hundred, and the suffix –age in the sense of “quantity, measure, or charge.” Percentage is a measurement of something per hundred.
Percentage is an incredibly common way we divide things into proportions. Some common things we express using percentage include how much of our daily fat a food contains, how much you should tip a waitperson, and how confident a weatherperson is that it will rain today.
Did you know … ?
How is percentage used in real life?
Percentage is a very commonly used measurement in rates and proportions.
Congrats Mumbai voters. 41 to 52% is actually nearly 25% increase in percentage. Big jump. Though a long distance to catch up.
— Dr. S.Y. Quraishi (@DrSYQuraishi) April 24, 2014
By far, the lowest percentage of athletes scoring below the threshold was at Wisconsin. Only 2/122 athletes scored lower than the threshold.
— Sara Ganim (@sganim) January 7, 2014
A surprisingly high percentage of our phone interviews have chickens in the background
— Planet FM (@PlanetAuckland) January 23, 2019
Try using percentage!
Is percentage used correctly in the following sentence?
By the end of the day, 80 percentage of the kittens had been adopted.
Words related to percentage
bonus, chunk, fee, interest, percent, proportion, rate, ratio, allowance, bite, commission, corner, cut, discount, division, duty, holdout, juice, payoff, piece
How to use percentage in a sentence
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Loyd’s on track for the best defensive rating of her career so far, and her assist percentage has even ticked up, despite playing next to a pair of primary ballhandlers in Sue Bird and Jordin Canada.
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One particular sticking point was herd immunity, which occurs when a large percentage of the community is immune to a disease and ends up protecting those who aren’t.
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That means the next mayor could be someone who nabs a relatively small percentage of the vote.
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As the tool will also calculate the percentage of conversation dominated by each of your competitors, you can then dig deeper to analyze what the successful competitors are doing better in terms of branding.
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Just a few weeks in, that CRO said, there is a slim chance they might only miss their original targets by a few percentage points.
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By 2012, Democratic President Barack Obama owned the Asian-American vote, winning it by 47 percentage points.
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Most importantly, they were all deleted long before that percentage could rise any higher.
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And it has a high percentage of women who say their husbands forbid them from working.
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With a .700 career winning percentage as a coach in college and the NFL, Harbaugh is a winner.
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About half of Turkers live in the United States, a percentage that is increasing.
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Results are in terms of bulk of precipitate, which must not be confused with percentage by weight.
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The weight percentage can be found by referring to Purdy’s tables, given later.
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The percentage of gold to the notes—the main demand liability—has, of course, fallen from about 65 to 35 per cent.
-
The percentage of reserves to deposits, which marks the safety line for England, refers to the items in the banking department.
-
When a convenient number of coffee-beans is used (any multiple of 100), the percentage calculation is extremely easy.
British Dictionary definitions for percentage
noun
proportion or rate per hundred parts
commerce the interest, tax, commission, or allowance on a hundred items
any proportion in relation to the whole
informal profit or advantage
Collins English Dictionary — Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
10 Letters
6 Consonants
4 Vowels
3 Syllables
- Types Of Speech
- You can use percentage as a noun in a sentence.
- About Percentage
- A 3 syllables noun and 10 letters with the letters a, c, e, g, n, p, r, and t, 6 consonants, 4 vowels and 3 syllables with the middle letters en. Percentage starts with a consonant and ends with a vowel with the starting letters p, pe, per, perc, perce, and the ending characters are e, ge, age, tage, ntage, ..
- Definition
- Assets belonging to or due to or contributed by an individual person or group; «he wanted his share in cash»
- Origin/Roots
- Latin
- Compound Words
- A compound word, percentage has more than one word within it. There’s 2 words which are percent, and age.
- Pig Latin
- Percentage in Pig Latin is said as «ercentagepay or ercentagepway».
- Unigram
- p | e | r | c | e | n | t | a | g | e
- Bigram
- pe | er | rc | ce | en | nt | ta | ag | ge
- Trigram
- per | erc | rce | cen | ent | nta | tag | age
- Quadrigram
- perc | erce | rcen | cent | enta | ntag | tage
- Word Gram
-
- second letter e
- third letter is r
- fourth letter is c
- fifth letter is e
- sixth letter is n
- Use As A Noun
- Noun Examples
- assets belonging to or due to or contributed by an individual person or group;
«he wanted his share in cash»
- a proportion multiplied by 100
- Synonyms
- Anagrams
- Derivatives
- Hypernyms
- Hyponyms
- Part Meronyms
Synonym | Definition |
---|---|
Abatement | the act of abating «laws enforcing noise abatement» |
Absolute Interest | |
Adjunct | a construction that is part of a sentence but not essential to its meaning and can be omitted without making the sentence ungrammatical |
Advantage | benefit resulting from some event or action «it turned out to my advantage» «reaping the rewards of generosity» |
Advantageousness | the quality of being encouraging or promising of a successful outcome |
Advisability | the quality of being advisable «they questioned the advisability of our policy» |
Aggravation | action that makes a problem or a disease (or its symptoms) worse «the aggravation of her condition resulted from lack of care» |
Agio | a fee charged for exchanging currencies |
Agiotage | a fee charged for exchanging currencies |
Alleviation | the act of reducing something unpleasant (as pain or annoyance) «he asked the nurse for relief from the constant pain» |
View all cognitive synonyms for Percentage
Anagram | Definition |
---|---|
Percentage | assets belonging to or due to or contributed by an individual person or group «he wanted his share in cash» |
View English words with the unique letters used in percentage. Words With The Letters Acegnprt
Word | Definition |
---|---|
Partake | consume «She didn»t touch her food all night» |
Partake In | |
Share | any one of a number of individual efforts in a common endeavor «I am proud of my contribution to the team»s success» «they all did their share of the work» |
Word | Definition |
---|---|
Assets | anything of material value or usefulness |
Word | Definition |
---|---|
Allocation | (computer science) the assignment of particular areas of a magnetic disk to particular data or instructions |
Allotment | the act of distributing by allotting or apportioning; distribution according to a plan; «the apportionment of seats in the House of Representatives is based on the relative population of each state» |
Allowance | the act of allowing; «He objected to the allowance of smoking in the diningroom» |
Cut | an unexcused absence from class; «he was punished for taking too many cuts in his math class» |
Dispensation | the act of dispensing (giving out in portions) |
Dole | money received from the state |
Interest | a diversion that occupies one»s time and thoughts (usually pleasantly); «sailing is her favorite pastime»; «his main pastime is gambling»; «he counts reading among his interests»; «they criticized the boy for his limited pursuits» |
Piece | a portable gun; «he wore his firearm in a shoulder holster» |
Profit Sharing | |
Ration | the food allowance for one day (especially for service personnel); «the rations should be nutritionally balanced» |
View All Hyponyms For Percentage
Word | Definition |
---|---|
Net Income | n/a |
Percentage Is In These Word Lists
- Starts With P
- Ten letters, starting with p
- Starting with p, ending with e
- Ten letters with the second letter e
- Six consonants, starting with p
- Four vowels, starting with p
- Three syllables, starting with p
- Ends With E
- Ten letters, ending in e
- Six consonants, ending in e
- Four vowels, ending in e
- Three syllables, ending in e
- Spelled With / Contains Letters
- Solve the puzzle _e_c_n_a_e
- Solve the puzzle _er_en_ag_
- Solve the puzzle _erc_nta_e
- Solve the puzzle _erce_tage
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The words “percent” and “percentage” are so similar that many people use them interchangeably in conversation and the written word. Here we discuss whether that usage is appropriate and the proper conventions around when you should choose to use each.
What Is The Difference Between “Percent” And “Percentage”?
The word “percent” is a unit of measure and should always be preceded by an amount. Although similar, the word “percentage” should never be preceded by an amount. Additionally, “percent” always introduces the whole denominator, whereas “percentage” can introduce either the whole or part denominator.
The word “percent” can sometimes be used/act as an adverb in a sentence. The word “percentage” is always a noun.
When Should I Use “Percent”?
Use “percent” when you want to indicate a specified amount or one part in every hundred. You must always have a specific amount indicated and that amount must come before the word “percent.”
When indicating a percent in a sentence, you must always write out the number and then follow the number immediately with the word percent (i.e., five percent). You can also choose to write out the number in the numeral form and use the “%” sign immediately after it instead (i.e., 5%).
Both of those options are correct. However, you can not write out the number in words and use the “%” sign and should not use the numeral with the word “percent” (i.e., 5 percent).
These example sentences show the proper usage of the word “percent.”
- In the survey we conducted, only fifteen percent of people were in favor of the changes taking place.
- The class was evenly divided as 50% of the students were boys and 50% were girls.
- The loan has a four percent interest rate for 10 years.
- The suspect claimed he was being one hundred percent truthful when he was questioned by the police.
- That candy bar has 18% sugar in it.
- I got a ninety percent on the geometry test that I took the other day.
- Ninety-five percent of the time I walk to work in the morning, but some days I’m running late and have to drive.
When Should I Use “Percentage”?
Use “percentage” when you are talking about things in a more general sense, or are not referring to a specific number (although it can be a range of specific numbers). The word “percentage” is never preceded by a specific number in a sentence.
When describing a specific range of numbers, the word “percentage” is preceded by the word “the” and followed by the word “of.” Therefore, the complete phrase when using the word “percentage” this way is “the percentage of.”
When the noun “percentage” does not refer to a range of specific numbers in a sentence, it uses the noun determiner “a” instead of “the.” It must also be preceded by an adjective (i.e., large, significant, small) to create a phrase such as “a large percentage of.”
Here are some examples that show “percentage” properly used in a sentence.
- I’d say that the percentage of my paycheck that goes towards food each month is between 25 to 30 percent.
- A large percentage of the population was exposed to the chickenpox virus as a child.
- There will probably be a small percentage of possibility for rain showers in the morning on Saturday.
- Each week, Matt puts a small percentage of his paycheck into a savings account for emergencies.
- I think the percentage of people that didn’t reply to the invitation was about 5% to 10%.
- I’d figure that only a small percentage of people don’t enjoy eating pizza.
Are “Percent” And “Percentage” Interchangeable?
The words “percent” and “percentage” are not interchangeable although they are closely related. The word “percent” must always be used when referring to a specific amount. The word “percentage” must always be used when speaking without a number or for a range of numbers.
Is “Percent” Or “Percentage” Used The Most?
The word “percent” is used more often than the word “percentage,” although both words have been used regularly throughout history.
This Google Ngram Viewer shows the usage of the two words from the year 1900 until today. As you can see, the usage word “percentage” has remained steady through the years.
The word “percent” experienced a significant rise in usage around the year 1930 and continued to rise until it fell back down and started to level out around the year 2014.
Is It “Percent Of” Or “Percentage Of”?
You can use either the phrase “percent of” or “percentage of” depending on the context of your sentence. Keep in mind that the word “percent” must always be preceded by a specific number, even when saying “percent of.”
Here is an example of both phrases used correctly:
- I was told that twenty percent of people surveyed wished they took more vacations.
- The percentage of applicants who didn’t get accepted to the university was 25 to 30 percent.
Is It “What Percent” Or “What Percentage”?
You can use both the phrases “what percent” or “what percentage.” It depends on the answer that you expect to get. If you expect an exact number, “what percent” is appropriate. If you are not looking for an exact number “what percentage” should be used.
You may also like: “How Many Percent”, “How Much Percent”, or “What Percent”?
Is “What Percent” And “What Percentage” Used Differently In The US And The UK?
In both the US and the UK, the phrase “what percentage” is used more often than “what percent.” However, in the UK, the phrase “what percent” is almost never used at all, in the US, it is just used slightly less.
This Google Ngram Viewer shows the usage of the two phrases in American English. As you can see, both phrases are used regularly, even though “what percentage” is used more.
This Google Ngram Viewer shows the UK usage of the two phrases. From this analysis, you can see that the phrase “what percent” is almost non-existent in British English and has been throughout history.
Is It “Percent Point” Or “Percentage Point”?
The proper phrase to use is “percentage point.” A “percentage point” is the mathematical difference between two percentages. However, the answer is not an exact percent, so you would not say “percent point.” For example, a 20% difference in two numbers, could actually equal just 2 “percentage points.”
You may also like:
Do You Put a Space Before a Percent Sign? Full Explanation
Is Percentage Singular or Plural? (Helpful Examples)
Martin holds a Master’s degree in Finance and International Business. He has six years of experience in professional communication with clients, executives, and colleagues. Furthermore, he has teaching experience from Aarhus University. Martin has been featured as an expert in communication and teaching on Forbes and Shopify. Read more about Martin here.
‘PERCENTAGE’ is a 10 letter
Word
starting with P and ending with E
All Solutions for PERCENTAGE
Clue | Answer |
---|---|
|
|
PERCENTAGE (3) |
CUT |
PERCENTAGE (4) |
PART |
PERCENTAGE (4) |
RATE |
PERCENTAGE (5) |
EXTRA |
PERCENTAGE (5) |
RATIO |
PERCENTAGE (5) |
SHARE |
PERCENTAGE (5) |
SLICE |
PERCENTAGE (8) |
DISCOUNT |
PERCENTAGE (8) |
FRACTION |
PERCENTAGE (10) |
PROPORTION |
Synonyms, crossword answers and other related words for PERCENTAGE
We hope that the following list of synonyms for the word percentage will help
you to finish your
crossword today. We’ve arranged the synonyms in length order so that they are easier to find.
percentage 3 letter words
percentage 4 letter words
percentage 5 letter words
percentage 6 letter words
percentage 7 letter words
percentage 8 letter words
percentage 9 letter words
percentage 10 letter words
percentage 11 letter words
percentage 12 letter words
percentage 13 letter words
percentage 14 letter words
percentage 15 letter words
percentage 16 letter words
percentage 17 letter words
percentage 18 letter words
percentage 22 letter words
Top answers for PERCENTAGE crossword clue from newspapers
Definition of percentage
- a proportion in relation to a whole (which is usually the amount per hundred)
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Score for PERCENTAGE
PERCENTAGE is an official word in Scrabble with 15 points.
«Percent» redirects here. For the symbol, see Percent sign.
«Per cent» redirects here. For the unit of currency, see cent (currency).
A pie chart showing the percentage by web browser visiting Wikimedia sites (April 2009 to 2012)
In mathematics, a percentage (from Latin per centum ‘by a hundred’) is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign (%),[1] although the abbreviations pct., pct, and sometimes pc are also used.[2] A percentage is a dimensionless number (pure number); it has no unit of measurement.
Examples
For example, 45% (read as «forty-five per cent») is equal to the fraction 45/100, the ratio 45:55 (or 45:100 when comparing to the total rather than the other portion), or 0.45.
Percentages are often used to express a proportionate part of a total.
(Similarly, one can also express a number as a fraction of 1,000, using the term «per mille» or the symbol «‰«.)
Example 1
If 50% of the total number of students in the class are male, that means that 50 out of every 100 students are male. If there are 500 students, then 250 of them are male.
Example 2
An increase of $0.15 on a price of $2.50 is an increase by a fraction of 0.15/2.50 = 0.06. Expressed as a percentage, this is a 6% increase.
While many percentage values are between 0 and 100, there is no mathematical restriction and percentages may take on other values.[3] For example, it is common to refer to 111% or −35%, especially for percent changes and comparisons.
History
In Ancient Rome, long before the existence of the decimal system, computations were often made in fractions in the multiples of 1/100. For example, Augustus levied a tax of 1/100 on goods sold at auction known as centesima rerum venalium. Computation with these fractions was equivalent to computing percentages.
As denominations of money grew in the Middle Ages, computations with a denominator of 100 became increasingly standard, such that from the late 15th century to the early 16th century, it became common for arithmetic texts to include such computations. Many of these texts applied these methods to profit and loss, interest rates, and the Rule of Three. By the 17th century, it was standard to quote interest rates in hundredths.[4]
Percent sign
The term «percent» is derived from the Latin per centum, meaning «hundred» or «by the hundred».[5][6]
The sign for «percent» evolved by gradual contraction of the Italian term per cento, meaning «for a hundred». The «per» was often abbreviated as «p.»—eventually disappeared entirely. The «cento» was contracted to two circles separated by a horizontal line, from which the modern «%» symbol is derived.[7]
Calculations
The percent value is computed by multiplying the numeric value of the ratio by 100. For example, to find 50 apples as a percentage of 1250 apples, one first computes the ratio 50/1250 = 0.04, and then multiplies by 100 to obtain 4%. The percent value can also be found by multiplying first instead of later, so in this example, the 50 would be multiplied by 100 to give 5,000, and this result would be divided by 1250 to give 4%.
To calculate a percentage of a percentage, convert both percentages to fractions of 100, or to decimals, and multiply them. For example, 50% of 40% is:
- 50/100 × 40/100 = 0.50 × 0.40 = 0.20 = 20/100 = 20%.
It is not correct to divide by 100 and use the percent sign at the same time; it would literally imply division by 10,000. For example, 25% = 25/100 = 0.25, not 25%/100, which actually is 25⁄100/100 = 0.0025. A term such as 100/100% would also be incorrect, since it would be read as 1 percent, even if the intent was to say 100%.
Whenever communicating about a percentage, it is important to specify what it is relative to (i.e., what is the total that corresponds to 100%). The following problem illustrates this point.
- In a certain college 60% of all students are female, and 10% of all students are computer science majors. If 5% of female students are computer science majors, what percentage of computer science majors are female?
We are asked to compute the ratio of female computer science majors to all computer science majors. We know that 60% of all students are female, and among these 5% are computer science majors, so we conclude that 60/100 × 5/100 = 3/100 or 3% of all students are female computer science majors. Dividing this by the 10% of all students that are computer science majors, we arrive at the answer: 3%/10% = 30/100 or 30% of all computer science majors are female.
This example is closely related to the concept of conditional probability.
Variants of the percentage calculation
The calculation of percentages is carried out and taught in different ways depending on the prerequisites and requirements. In this way, the usual formulas can be obtained with proportions, which saves them from having to remember them. In so-called mental arithmetic, the intermediary question is usually asked what 100% or 1% is (corresponds to).
Example:
42 kg is 7%. How much is (corresponds to) 100%?
Given are W (percentage) and p % (percentage).
We are looking for G (basic value).
With general formula | With own ratio equation (Proportion) | With “What is 1%?” (Rule of 3) |
---|---|---|
multiple rearrangements result in: |
simple conversion yields:
|
without changing the last counter is:
|
Advantage: • One formula for all tasks |
Advantages: • Without a formula • Easy to change over if the size you are looking for — here G — is in the top left of the counter. |
Advantages: • Without a formula • Simple rule of three — here as a chain of equations • Application for mental arithmetic |
Percentage increase and decrease
Due to inconsistent usage, it is not always clear from the context what a percentage is relative to. When speaking of a «10% rise» or a «10% fall» in a quantity, the usual interpretation is that this is relative to the initial value of that quantity. For example, if an item is initially priced at $200 and the price rises 10% (an increase of $20), the new price will be $220. Note that this final price is 110% of the initial price (100% + 10% = 110%).
Some other examples of percent changes:
- An increase of 100% in a quantity means that the final amount is 200% of the initial amount (100% of initial + 100% of increase = 200% of initial). In other words, the quantity has doubled.
- An increase of 800% means the final amount is 9 times the original (100% + 800% = 900% = 9 times as large).
- A decrease of 60% means the final amount is 40% of the original (100% – 60% = 40%).
- A decrease of 100% means the final amount is zero (100% – 100% = 0%).
In general, a change of x percent in a quantity results in a final amount that is 100 + x percent of the original amount (equivalently, (1 + 0.01x) times the original amount).
Compounding percentages
Percent changes applied sequentially do not add up in the usual way. For example, if the 10% increase in price considered earlier (on the $200 item, raising its price to $220) is followed by a 10% decrease in the price (a decrease of $22), then the final price will be $198—not the original price of $200. The reason for this apparent discrepancy is that the two percent changes (+10% and −10%) are measured relative to different quantities ($200 and $220, respectively), and thus do not «cancel out».
In general, if an increase of x percent is followed by a decrease of x percent, and the initial amount was p, the final amount is p(1 + 0.01x)(1 − 0.01x) = p(1 − (0.01x)2); hence the net change is an overall decrease by x percent of x percent (the square of the original percent change when expressed as a decimal number). Thus, in the above example, after an increase and decrease of x = 10 percent, the final amount, $198, was 10% of 10%, or 1%, less than the initial amount of $200. The net change is the same for a decrease of x percent, followed by an increase of x percent; the final amount is p(1 — 0.01x)(1 + 0.01x) = p(1 − (0.01x)2).
This can be expanded for a case where one does not have the same percent change. If the initial amount p leads to a percent change x, and the second percent change is y, then the final amount is p(1 + 0.01x)(1 + 0.01y). To change the above example, after an increase of x = 10 percent and decrease of y = −5 percent, the final amount, $209, is 4.5% more than the initial amount of $200.
As shown above, percent changes can be applied in any order and have the same effect.
In the case of interest rates, a very common but ambiguous way to say that an interest rate rose from 10% per annum to 15% per annum, for example, is to say that the interest rate increased by 5%, which could theoretically mean that it increased from 10% per annum to 10.05% per annum. It is clearer to say that the interest rate increased by 5 percentage points (pp). The same confusion between the different concepts of percent(age) and percentage points can potentially cause a major misunderstanding when journalists report about election results, for example, expressing both new results and differences with earlier results as percentages. For example, if a party obtains 41% of the vote and this is said to be a 2.5% increase, does that mean the earlier result was 40% (since 41 = 40 × (1 + 2.5/100)) or 38.5% (since 41 = 38.5 + 2.5)?
In financial markets, it is common to refer to an increase of one percentage point (e.g. from 3% per annum to 4% per annum) as an increase of «100 basis points».
Word and symbol
In most forms of English, percent is usually written as two words (per cent), although percentage and percentile are written as one word.[8] In American English, percent is the most common variant[9] (but per mille is written as two words).
In the early 20th century, there was a dotted abbreviation form «per cent.«, as opposed to «per cent«. The form «per cent.» is still in use in the highly formal language found in certain documents like commercial loan agreements (particularly those subject to, or inspired by, common law), as well as in the Hansard transcripts of British Parliamentary proceedings. The term has been attributed to Latin per centum.[10] The concept of considering values as parts of a hundred is originally Greek.[citation needed] The symbol for percent (%) evolved from a symbol abbreviating the Italian per cento. In some other languages, the form procent or prosent is used instead. Some languages use both a word derived from percent and an expression in that language meaning the same thing, e.g. Romanian procent and la sută (thus, 10% can be read or sometimes written ten for [each] hundred, similarly with the English one out of ten). Other abbreviations are rarer, but sometimes seen.
Grammar and style guides often differ as to how percentages are to be written. For instance, it is commonly suggested that the word percent (or per cent) be spelled out in all texts, as in «1 percent» and not «1%». Other guides prefer the word to be written out in humanistic texts, but the symbol to be used in scientific texts. Most guides agree that they always be written with a numeral, as in «5 percent» and not «five percent», the only exception being at the beginning of a sentence: «Ten percent of all writers love style guides.» Decimals are also to be used instead of fractions, as in «3.5 percent of the gain» and not «3+1⁄2 percent of the gain». However the titles of bonds issued by governments and other issuers use the fractional form, e.g. «3+1⁄2% Unsecured Loan Stock 2032 Series 2″. (When interest rates are very low, the number 0 is included if the interest rate is less than 1%, e.g. «0+3⁄4% Treasury Stock», not «3⁄4% Treasury Stock».) It is also widely accepted to use the percent symbol (%) in tabular and graphic material.
In line with common English practice, style guides—such as The Chicago Manual of Style—generally state that the number and percent sign are written without any space in between.[11]
However, the International System of Units and the ISO 31-0 standard require a space.[12][13]
Other uses
Percent used to indicate a road’s steepness down.
The word «percentage» is often a misnomer in the context of sports statistics, when the referenced number is expressed as a decimal proportion, not a percentage: «The Phoenix Suns’ Shaquille O’Neal led the NBA with a .609 field goal percentage (FG%) during the 2008–09 season.» (O’Neal made 60.9% of his shots, not 0.609%.) Likewise, the winning percentage of a team, the fraction of matches that the club has won, is also usually expressed as a decimal proportion; a team that has a .500 winning percentage has won 50% of their matches. The practice is probably related to the similar way that batting averages are quoted.
As «percent» it is used to describe the steepness of the slope of a road or railway, formula for which is 100 × rise/run which could also be expressed as the tangent of the angle of inclination times 100. This is the ratio of distances a vehicle would advance vertically and horizontally, respectively, when going up- or downhill, expressed in percent.
Percentage is also used to express composition of a mixture by mass percent and mole percent.
Visualisation of 1%, 1‰, 1‱, 1 pcm and 1 ppm as fractions of the large block (larger version)
- Percentage point difference of 1 part in 100
- Per mille (‰) 1 part in 1,000
- Basis point (bp) difference of 1 part in 10,000
- Permyriad (‱) 1 part in 10,000
- Per cent mille (pcm) 1 part in 100,000
- Grade (slope)
- Centiturn
Practical applications
- Baker percentage
- Volume percent
See also
- 1000 percent
- Relative change and difference
- Percent difference
- Percentage change
- Parts-per notation
- Per-unit system
- Percent point function
References
- ^ «Introduction to Percents». mathsisfun.com. Retrieved 28 August 2020.
- ^ Dakers, Marion (7 January 2015). «Eurozone Officially Falls into Deflation, Piling Pressure on ECB». The Daily Telegraph. Retrieved 27 December 2019.
- ^ Bennett, Jeffrey; Briggs, William (2005), Using and Understanding Mathematics / A Quantitative Reasoning Approach (3rd ed.), Pearson Addison Wesley, p. 134, ISBN 0-321-22773-5
- ^ Smith, D.E. (1958) [1951]. History of Mathematics. Vol. 2. Courier Dover Publications. pp. 247–249. ISBN 0-486-20430-8.
- ^ American Heritage Dictionary of the English Language, 3rd ed. (1992) Houghton Mifflin
- ^ «Definition of PERCENT». www.merriam-webster.com. Retrieved 28 August 2020.
- ^ Smith p. 250
- ^ Brians, Paul. «Percent/per cent». Common Errors in English Usage. Washington State University. Retrieved 22 November 2010.
- ^ «Percent (per cent)». Oxford Dictionaries. Retrieved 22 November 2010.[dead link]
- ^ «Percent». Oxford English Dictionary (Online ed.). Oxford University Press. (Subscription or participating institution membership required.)
- ^
«The Chicago Manual of Style». University of Chicago Press. 2003. Retrieved 5 January 2007. - ^
«The International System of Units» (PDF). International Bureau of Weights and Measures. 2006. Retrieved 6 August 2007. - ^
«ISO 31-0 — Quantities and units – Part 0: General principles». International Organization for Standardization. 22 December 1999. Retrieved 5 January 2007.
External links
- The dictionary definition of percentage at Wiktionary
Below is a massive list of percentage words — that is, words related to percentage. The top 4 are: number, amount, ratio and proportion. You can get the definition(s) of a word in the list below by tapping the question-mark icon next to it. The words at the top of the list are the ones most associated with percentage, and as you go down the relatedness becomes more slight. By default, the words are sorted by relevance/relatedness, but you can also get the most common percentage terms by using the menu below, and there’s also the option to sort the words alphabetically so you can get percentage words starting with a particular letter. You can also filter the word list so it only shows words that are also related to another word of your choosing. So for example, you could enter «number» and click «filter», and it’d give you words that are related to percentage and number.
You can highlight the terms by the frequency with which they occur in the written English language using the menu below. The frequency data is extracted from the English Wikipedia corpus, and updated regularly. If you just care about the words’ direct semantic similarity to percentage, then there’s probably no need for this.
There are already a bunch of websites on the net that help you find synonyms for various words, but only a handful that help you find related, or even loosely associated words. So although you might see some synonyms of percentage in the list below, many of the words below will have other relationships with percentage — you could see a word with the exact opposite meaning in the word list, for example. So it’s the sort of list that would be useful for helping you build a percentage vocabulary list, or just a general percentage word list for whatever purpose, but it’s not necessarily going to be useful if you’re looking for words that mean the same thing as percentage (though it still might be handy for that).
If you’re looking for names related to percentage (e.g. business names, or pet names), this page might help you come up with ideas. The results below obviously aren’t all going to be applicable for the actual name of your pet/blog/startup/etc., but hopefully they get your mind working and help you see the links between various concepts. If your pet/blog/etc. has something to do with percentage, then it’s obviously a good idea to use concepts or words to do with percentage.
If you don’t find what you’re looking for in the list below, or if there’s some sort of bug and it’s not displaying percentage related words, please send me feedback using this page. Thanks for using the site — I hope it is useful to you! 🐻
That’s about all the percentage related words we’ve got! I hope this list of percentage terms was useful to you in some way or another. The words down here at the bottom of the list will be in some way associated with percentage, but perhaps tenuously (if you’ve currenly got it sorted by relevance, that is). If you have any feedback for the site, please share it here, but please note this is only a hobby project, so I may not be able to make regular updates to the site. Have a nice day! 🕸